3.3.1 \(\int x^2 \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\)
  3.3.2 \(\int \sqrt {-c+d x} \sqrt {c+d x} (a+b x^2) \, dx\)
  3.3.3 \(\int \frac {\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x^2} \, dx\)
  3.3.4 \(\int \frac {\sqrt {-c+d x} \sqrt {c+d x} (a+b x^2)}{x^4} \, dx\)
  3.3.5 \(\int \frac {x^4 (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.6 \(\int \frac {x^3 (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.7 \(\int \frac {x^2 (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.8 \(\int \frac {x (a+b x^2)}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.9 \(\int \frac {a+b x^2}{\sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.10 \(\int \frac {a+b x^2}{x \sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.11 \(\int \frac {a+b x^2}{x^2 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.12 \(\int \frac {a+b x^2}{x^3 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.13 \(\int \frac {a+b x^2}{x^4 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.14 \(\int \frac {a+b x^2}{x^5 \sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.15 \(\int \frac {x^4 (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.16 \(\int \frac {x^3 (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.17 \(\int \frac {x^2 (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.18 \(\int \frac {x (a+b x^2)}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.19 \(\int \frac {a+b x^2}{\sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.20 \(\int \frac {a+b x^2}{x \sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.21 \(\int \frac {a+b x^2}{x^2 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.22 \(\int \frac {a+b x^2}{x^3 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.23 \(\int \frac {a+b x^2}{x^4 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.24 \(\int \frac {a+b x^2}{x^5 \sqrt {-c+d x} \sqrt {c+d x}} \, dx\)
  3.3.25 \(\int \frac {x^4 (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.26 \(\int \frac {x^3 (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.27 \(\int \frac {x^2 (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.28 \(\int \frac {x (a+b x^2)}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.29 \(\int \frac {a+b x^2}{(-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.30 \(\int \frac {a+b x^2}{x (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.31 \(\int \frac {a+b x^2}{x^2 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.32 \(\int \frac {a+b x^2}{x^3 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.33 \(\int \frac {a+b x^2}{x^4 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.34 \(\int \frac {a+b x^2}{x^5 (-c+d x)^{3/2} (c+d x)^{3/2}} \, dx\)
  3.3.35 \(\int \frac {1+c^2 x^2}{x \sqrt {-1+c x} \sqrt {1+c x}} \, dx\)
  3.3.36 \(\int \frac {x^{-\frac {2 b^2 c+a^2 d}{b^2 c+a^2 d}} (c+d x^2)}{\sqrt {-a+b x} \sqrt {a+b x}} \, dx\)
  3.3.37 \(\int \frac {1}{\sqrt {-1-\sqrt {x}} \sqrt {-1+\sqrt {x}} \sqrt {1+x}} \, dx\)
  3.3.38 \(\int \frac {1}{\sqrt {a-b \sqrt {x}} \sqrt {a+b \sqrt {x}} \sqrt {a^2+b^2 x}} \, dx\)
  3.3.39 \(\int (a-b x^{n/2})^p (a+b x^{n/2})^p (\frac {a^2 d (1+p)}{b^2 (1+\frac {-1-2 n-n p}{n})}+d x^n)^{\frac {-1-2 n-n p}{n}} \, dx\)